Evaluate the expression. Write your answer in scientific notation.
(2.8 $\times$ 10^-5) – (1.6 $\times$ 10^-6)

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Solution

Step1. To solve the given expression , we can take least powers out using distributive property of multiplication over addition.
(2.8 $\times$ 10^-5) – (1.6 $\times$ 10^-6)
10^-5 $\times$ (2.8 + 1.6 $\times$ 10^-1)
Step2. Now solving $-$ addition in brackets we get,
10⁴ $\times$ (10.66)
Step3. Solving power and then multiplication in the last, we get
10000 $\times$ (10.66)
106600

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